Answer: x = -4
Step-by-step explanation:
1/2 * (x - (-6)) = 1
distribute
1/2x + 3 = 1
isolate the variable
1/2x = -2
x = - 4
Answer: (-5,35)
Step-by-step explanation:
-7x=-5x+10
Get x on one side by adding 5x
-2x=10
Simplify by dividing by -2
X=-5
Substitute into y=-7x
Y=-7(-5)
Simplify
Y=35
Answer:
undefined
The problem:
Find the slope for the line going through (3,4) and (3,-4).
Step-by-step explanation:
Line up points vertically and subtract.
Then put 2nd difference over 1st.
( 3 , 4)
-(3 , -4)
------------
0 8
So the slope would have been 8/0 but this is undefined.
So the slope is undefined.
Also notice the x's are the same and the y's are difference so this is a vertical line. There is only rise in a vertical line and no run. Recall, slope is rise/run. You cannot divide by 0 so this is why we say the slope is undefined when the x's are always the same no matter the y.
Answer:
<em><u>A.10000</u></em>
<em><u>B.25 more trees must be planted</u></em>
Step-by-step explanation:
⇒Given:
- The intial average yield per acre
= 150
- The initial number of trees per acre
= 100
- For each additional tree over 100, the average yield per tree decreases by 1 i.e , if the number trees become 101 , the avg yield becomes 149.
- Total yield = (number of trees per acre)
(average yield per acre)
<em>A.</em>
⇒If the total trees per acre is doubled , which means :
total number of trees per acre 
= 
= 200
the yield will decrease by : -
⇒total yield = 
<em>B.</em>
⇒to maximize the yield ,
let's take the number of trees per acre to be 100+y ;
and thus the average yield per acre = 150 - y;
total yield = 
this is a quadratic equation. this can be rewritten as ,
⇒ 
In this equation , the total yield becomes maximum when y=25;
<u><em>⇒Thus the total number of trees per acre = 100+25 =125;</em></u>
Answer:
rhombus
Step-by-step explanation:
Rhombus has that equiangular and is equilateral but I'm not entirely sure about this...
